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most citedEnhanced negative type for finite metric trees

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math.SP2013

Logarithmic Sobolev inequalities and spectral concentration for the cubic Schrödinger equation

Gordon Blower, Caroline Brett, Ian Doust

The nonlinear Schrödinger equation NLSE(p, β), -iu_t=-u_{xx}+β| u|^{p-2} u=0, arises from a Hamiltonian on infinite-dimensional phase space \Lp^2(\mT). For p\leq 6, Bourgain (Comm.…